Teixeira, who received a third cortisone shot in the wrist Sunday, hasn't fared well with the injury, batting just .177 (29 for 164) since the All-Star break.
Wilmer Flores shifted over to second base to fill in for him, allowing Ruben Tejada in the lineup at shortstop.
Not only is Kipnis at less than full capacity right now, but he's batting just .229 in 231 at-bats since the All-Star break.
The Mets also announced manager Terry Collins would return for the 2015 season.
Though he was able to pinch hit both Saturday and Monday,
Rookie Christian Bethancourt once again started in his absence.
With Heyward's return, Emilio Bonifacio moved from right field to center, bumping B.J. Upton to the bench.
Smith pitched all of 5 1/3 innings for Triple-A El Paso before the injury. He is in the running for a roster spot this spring after recording 11.4 strikeouts per nine innings in 10 appearances, including seven starts, for the big club last season. Of course, he also had a 6.44 ERA and 1.65 WHIP.